Entire solutions originating from traveling fronts for a two-species competition-diffusion system

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Title:	Entire solutions originating from traveling fronts for a two-species competition-diffusion system
Authors:	Guo, Jong-Shenq;Wu, Chang-Hong
Keywords:	entire solution;traveling front;competition model, super-sub-solutions
Date:	2019-07-26
Issue Date:	2020-02-17 12:10:32 (UTC+8)
Abstract:	This paper deals with entire solutions (classical solutions defined globally in time and space) of a two-species strong competition model. For this system, it is well known that there exist two-front entire solutions which behave as two traveling fronts moving towards each other from both sides of the x-axis. In this paper, in terms of traveling fronts connecting two different constant states from the coexistence state and the two semi-trivial states, we build entire solutions originating from three and four fronts stuck between appropriate super and subsolutions. Moreover, the non-existence of entire solutions originating from more than seven traveling fronts is proved.
Relation:	Nonlinearity 32(9), p.3234- 3268
DOI:	10.1088/1361-6544/ab1b83
Appears in Collections:	[Department of Applied Mathematics and Data Science] Journal Article

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